Argyria - Revision history

FloraC: Linking

2026-03-10T04:50:25Z

Linking

← Older revision		Revision as of 04:50, 10 March 2026
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	In [[just intonation]], '''41503/41472''', the '''argyria''', is the [[unnoticeable comma\|unnoticeable]] [[11-limit]] (specifically [[2.3.7.11 subgroup\|2.3.7.11-subgroup]]) [[comma]] between three [[8/7]]'s (693.522 cents) and two [[11/9]]'s (694.816 cents), measuring 1.294 cents<ref>Gayle Young, "The Pitch Organization of ''Harmonium for James Tenney''", Perspectives of New Music, vol. 26, no. 2, summer 1988, pp. 204–12. Stable URL: http://www.jstor.org/stable/833190</ref> and casually once referred to as "the '''tinge'''"<ref>Gayle Young, private e-mail to Todd Harrop, 24 June 2018.</ref>. It is the difference of [[1029/1024]] and [[243/242]] and therefore is the [[Don Page comma]] between the intervals [[11/9]] and [[8/7]]; in terms of [[S-expression]]s, this translates to (S7/S8)/(S9/S11), and by virtue of the equivalence ([[36/35]] = S6) = ([[64/63]] = S8)⋅([[81/80]] = S9), also to ([[121/120]] = S11)/([[1728/1715]] = S6/S7).		In [[just intonation]], '''41503/41472''', the '''argyria''', is the [[unnoticeable comma\|unnoticeable]] [[11-limit]] (specifically [[2.3.7.11 subgroup\|2.3.7.11-]][[subgroup]]) [[comma]] between three [[8/7]]'s (693.522 cents) and two [[11/9]]'s (694.816 cents), measuring 1.294 cents<ref>Gayle Young, "The Pitch Organization of ''Harmonium for James Tenney''", Perspectives of New Music, vol. 26, no. 2, summer 1988, pp. 204–12. Stable URL: http://www.jstor.org/stable/833190</ref> and casually once referred to as "the '''tinge'''"<ref>Gayle Young, private e-mail to Todd Harrop, 24 June 2018.</ref>. It is the difference of [[1029/1024]] and [[243/242]] and therefore is the [[Don Page comma]] between the intervals [[11/9]] and [[8/7]]; in terms of [[S-expression]]s, this translates to (S7/S8)/(S9/S11), and by virtue of the equivalence ([[36/35]] = S6) = ([[64/63]] = S8)⋅([[81/80]] = S9), also to ([[121/120]] = S11)/([[1728/1715]] = S6/S7).

	It is also the difference of [[385/384]] and [[540/539]]. Those two ratios make up [[225/224]]. Therefore, tempering it out guarantees that 225/224 is split into two, each for 385/384~540/539.		It is also the difference of [[385/384]] and [[540/539]]. Those two ratios make up [[225/224]]. Therefore, tempering it out guarantees that 225/224 is split into two, each for 385/384~540/539.

FloraC: + temps

2026-03-10T04:49:20Z

+ temps

← Older revision		Revision as of 04:49, 10 March 2026
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	\| Comma = yes		\| Comma = yes
	}}		}}
	In [[just intonation]], '''41503/41472''', the '''argyria''', is the [[unnoticeable comma\|unnoticeable]] [[11-limit]] [[comma]] between three [[8/7]]'s (693.522 cents) and two [[11/9]]'s (694.816 cents), measuring 1.294 cents<ref>Gayle Young, "The Pitch Organization of ''Harmonium for James Tenney''", Perspectives of New Music, vol. 26, no. 2, summer 1988, pp. 204–12. Stable URL: http://www.jstor.org/stable/833190</ref> and casually once referred to as "the '''tinge'''"<ref>Gayle Young, private e-mail to Todd Harrop, 24 June 2018.</ref>. It is the difference of [[1029/1024]] and [[243/242]] and therefore is the [[Don Page comma]] between the intervals [[11/9]] and [[8/7]]; in terms of [[S-expression]]s, this translates to (S7/S8)/(S9/S11), and by virtue of the equivalence ([[36/35]] = S6) = ([[64/63]] = S8) × ([[81/80]] = S9), also to ([[121/120]] = S11)/([[1728/1715]] = S6/S7).		In [[just intonation]], '''41503/41472''', the '''argyria''', is the [[unnoticeable comma\|unnoticeable]] [[11-limit]] (specifically [[2.3.7.11 subgroup\|2.3.7.11-subgroup]]) [[comma]] between three [[8/7]]'s (693.522 cents) and two [[11/9]]'s (694.816 cents), measuring 1.294 cents<ref>Gayle Young, "The Pitch Organization of ''Harmonium for James Tenney''", Perspectives of New Music, vol. 26, no. 2, summer 1988, pp. 204–12. Stable URL: http://www.jstor.org/stable/833190</ref> and casually once referred to as "the '''tinge'''"<ref>Gayle Young, private e-mail to Todd Harrop, 24 June 2018.</ref>. It is the difference of [[1029/1024]] and [[243/242]] and therefore is the [[Don Page comma]] between the intervals [[11/9]] and [[8/7]]; in terms of [[S-expression]]s, this translates to (S7/S8)/(S9/S11), and by virtue of the equivalence ([[36/35]] = S6) = ([[64/63]] = S8)⋅([[81/80]] = S9), also to ([[121/120]] = S11)/([[1728/1715]] = S6/S7).

	It is also the difference of [[385/384]] and [[540/539]]. Those two ratios make up [[225/224]]. Therefore, tempering it out guarantees that 225/224 is split into two, each for 385/384~540/539.		It is also the difference of [[385/384]] and [[540/539]]. Those two ratios make up [[225/224]]. Therefore, tempering it out guarantees that 225/224 is split into two, each for 385/384~540/539.

	It factors into two superparticular commas: ([[2401/2400]]) × ([[3025/3024]]).		It factors into two superparticular commas: ([[2401/2400]])⋅([[3025/3024]]).

			== Temperaments ==
			[[Tempering out]] this comma in the full 11-limit results in the rank-4 argyric temperament (→ [[Catalog of rank-4 temperaments #Argyric (41503/41472)]]), and in the 2.3.7.11 subgroup, the rank-3 argyrian temperament.

	== Etymology ==		== Etymology ==
	This comma was named the argyria by [[Lériendil]] in 2024, on the pattern of the [[olympia]] and alongside the [[elysia]], after Argyre Planitia on Mars.		This comma was named the argyria by [[Lériendil]] in 2024, on the pattern of the [[olympia]] and alongside the [[elysia]], after Argyre Planitia on Mars.

	== ~~Notes~~ ==		== References ==
	<references/>		<references/>

	[[Category:Commas named after place names]]		[[Category:Commas named after place names]]

Lériendil: added more S-expression stuff

2025-04-02T03:36:35Z

added more S-expression stuff

← Older revision		Revision as of 03:36, 2 April 2025
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	\| Comma = yes		\| Comma = yes
	}}		}}
	In [[just intonation]], '''41503/41472''', the '''argyria''', is the [[unnoticeable comma\|unnoticeable]] [[11-limit]] [[comma]] between three [[8/7]]'s (693.522 cents) and two [[11/9]]'s (694.816 cents), measuring 1.294 cents<ref>Gayle Young, "The Pitch Organization of ''Harmonium for James Tenney''", Perspectives of New Music, vol. 26, no. 2, summer 1988, pp. 204–12. Stable URL: http://www.jstor.org/stable/833190</ref> and casually once referred to as "the '''tinge'''"<ref>Gayle Young, private e-mail to Todd Harrop, 24 June 2018.</ref>. It is the difference of [[1029/1024]] and [[243/242]] and therefore is the [[Don Page comma]] between the intervals [[11/9]] and [[8/7]]~~. Besides~~, ~~it is also~~ the ~~difference of~~ [[~~385~~/~~384~~]] ~~and~~ [[~~540~~/~~539~~]]~~. Those two ratios make up~~ [[~~225~~/~~224~~]]~~. Therefore~~, ~~tempering it out guarantees that 225~~/~~224 is split into two, each for 385~~/~~384~540~~/~~539~~.		In [[just intonation]], '''41503/41472''', the '''argyria''', is the [[unnoticeable comma\|unnoticeable]] [[11-limit]] [[comma]] between three [[8/7]]'s (693.522 cents) and two [[11/9]]'s (694.816 cents), measuring 1.294 cents<ref>Gayle Young, "The Pitch Organization of ''Harmonium for James Tenney''", Perspectives of New Music, vol. 26, no. 2, summer 1988, pp. 204–12. Stable URL: http://www.jstor.org/stable/833190</ref> and casually once referred to as "the '''tinge'''"<ref>Gayle Young, private e-mail to Todd Harrop, 24 June 2018.</ref>. It is the difference of [[1029/1024]] and [[243/242]] and therefore is the [[Don Page comma]] between the intervals [[11/9]] and [[8/7]]; in terms of [[S-expression]]s, this translates to (S7/S8)/(S9/S11), and by virtue of the equivalence ([[36/35]] = S6) = ([[64/63]] = S8) × ([[81/80]] = S9), also to ([[121/120]] = S11)/([[1728/1715]] = S6/S7).

	It factors into two superparticular commas: ([[2401/2400]])([[3025/3024]]).		It is also the difference of [[385/384]] and [[540/539]]. Those two ratios make up [[225/224]]. Therefore, tempering it out guarantees that 225/224 is split into two, each for 385/384~540/539.

			It factors into two superparticular commas: ([[2401/2400]]) × ([[3025/3024]]).

	== Etymology ==		== Etymology ==

Lériendil at 06:11, 22 November 2024

2024-11-22T06:11:12Z

← Older revision		Revision as of 06:11, 22 November 2024
Line 5:		Line 5:
	\| Comma = yes		\| Comma = yes
	}}		}}
	In [[just intonation]], '''41503/41472''', the '''argyria''', is the [[unnoticeable comma\|unnoticeable]] [[11-limit]] [[comma]] between three [[8/7]]'s (693.522 cents) and two [[11/9]]'s (694.816 cents), measuring 1.294 cents<ref>Gayle Young, "The Pitch Organization of ''Harmonium for James Tenney''", Perspectives of New Music, vol. 26, no. 2, summer 1988, pp. 204–12. Stable URL: http://www.jstor.org/stable/833190</ref> and casually once referred to as "the '''tinge'''"<ref>Gayle Young, private e-mail to Todd Harrop, 24 June 2018.</ref>. It is the difference of [[1029/1024]] and [[243/242]]. Besides, it is also the difference of [[385/384]] and [[540/539]]. Those two ratios make up [[225/224]]. Therefore, tempering it out guarantees that 225/224 is split into two, each for 385/384~540/539.		In [[just intonation]], '''41503/41472''', the '''argyria''', is the [[unnoticeable comma\|unnoticeable]] [[11-limit]] [[comma]] between three [[8/7]]'s (693.522 cents) and two [[11/9]]'s (694.816 cents), measuring 1.294 cents<ref>Gayle Young, "The Pitch Organization of ''Harmonium for James Tenney''", Perspectives of New Music, vol. 26, no. 2, summer 1988, pp. 204–12. Stable URL: http://www.jstor.org/stable/833190</ref> and casually once referred to as "the '''tinge'''"<ref>Gayle Young, private e-mail to Todd Harrop, 24 June 2018.</ref>. It is the difference of [[1029/1024]] and [[243/242]] and therefore is the [[Don Page comma]] between the intervals [[11/9]] and [[8/7]]. Besides, it is also the difference of [[385/384]] and [[540/539]]. Those two ratios make up [[225/224]]. Therefore, tempering it out guarantees that 225/224 is split into two, each for 385/384~540/539.

	It factors into two superparticular commas: ([[2401/2400]])([[3025/3024]]).		It factors into two superparticular commas: ([[2401/2400]])([[3025/3024]]).

BudjarnLambeth at 23:49, 3 November 2024

2024-11-03T23:49:04Z

← Older revision		Revision as of 23:49, 3 November 2024
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	== Notes ==		== Notes ==
	<references/>		<references/>

			[[Category:Commas named after place names]]

BudjarnLambeth: /* Etymology */

2024-10-13T04:55:34Z

Etymology

← Older revision		Revision as of 04:55, 13 October 2024
Line 10:		Line 10:

	== Etymology ==		== Etymology ==
	This comma was named the argyria by Lériendil in 2024, on the pattern of the [[olympia]] and alongside the [[elysia]], after Argyre Planitia on Mars.		This comma was named the argyria by [[Lériendil]] in 2024, on the pattern of the [[olympia]] and alongside the [[elysia]], after Argyre Planitia on Mars.

	== Notes ==		== Notes ==
	<references/>		<references/>

BudjarnLambeth at 04:54, 13 October 2024

2024-10-13T04:54:20Z

← Older revision		Revision as of 04:54, 13 October 2024
Line 5:		Line 5:
	\| Comma = yes		\| Comma = yes
	}}		}}
	In [[just intonation]], '''41503/41472''', the '''argyria''', is the [[unnoticeable comma\|unnoticeable]] [[11-limit]] [[comma]] between three [[8/7]]'s (693.522 cents) and two [[11/9]]'s (694.816 cents), measuring 1.294 cents<ref>Gayle Young, "The Pitch Organization of ''Harmonium for James Tenney''", Perspectives of New Music, vol. 26, no. 2, summer 1988, pp. 204–12. Stable URL: http://www.jstor.org/stable/833190</ref> and casually once referred to as "'''~~the~~ tinge'''"<ref>Gayle Young, private e-mail to Todd Harrop, 24 June 2018.</ref>. It is the difference of [[1029/1024]] and [[243/242]]. Besides, it is also the difference of [[385/384]] and [[540/539]]. Those two ratios make up [[225/224]]. Therefore, tempering it out guarantees that 225/224 is split into two, each for 385/384~540/539.		In [[just intonation]], '''41503/41472''', the '''argyria''', is the [[unnoticeable comma\|unnoticeable]] [[11-limit]] [[comma]] between three [[8/7]]'s (693.522 cents) and two [[11/9]]'s (694.816 cents), measuring 1.294 cents<ref>Gayle Young, "The Pitch Organization of ''Harmonium for James Tenney''", Perspectives of New Music, vol. 26, no. 2, summer 1988, pp. 204–12. Stable URL: http://www.jstor.org/stable/833190</ref> and casually once referred to as "the '''tinge'''"<ref>Gayle Young, private e-mail to Todd Harrop, 24 June 2018.</ref>. It is the difference of [[1029/1024]] and [[243/242]]. Besides, it is also the difference of [[385/384]] and [[540/539]]. Those two ratios make up [[225/224]]. Therefore, tempering it out guarantees that 225/224 is split into two, each for 385/384~540/539.

	It factors into two superparticular commas: ([[2401/2400]])([[3025/3024]]).		It factors into two superparticular commas: ([[2401/2400]])([[3025/3024]]).

BudjarnLambeth at 04:53, 13 October 2024

2024-10-13T04:53:53Z

← Older revision		Revision as of 04:53, 13 October 2024
Line 5:		Line 5:
	\| Comma = yes		\| Comma = yes
	}}		}}
	In [[just intonation]], '''41503/41472''', the '''argyria''', is the [[unnoticeable comma\|unnoticeable]] [[11-limit]] [[comma]] between three [[8/7]]'s (693.522 cents) and two [[11/9]]'s (694.816 cents), measuring 1.294 cents<ref>Gayle Young, "The Pitch Organization of ''Harmonium for James Tenney''", Perspectives of New Music, vol. 26, no. 2, summer 1988, pp. 204–12. Stable URL: http://www.jstor.org/stable/833190</ref> and casually once referred to as "'''the tinge'''"<ref>Gayle Young, private e-mail to Todd Harrop, 24 June 2018.</ref>. ~~So it~~ is the difference of [[1029/1024]] and [[243/242]]. Besides, it is also the difference of [[385/384]] and [[540/539]]. Those two ratios make up [[225/224]]. Therefore, tempering it out guarantees that 225/224 is split into two, each for 385/384~540/539.		In [[just intonation]], '''41503/41472''', the '''argyria''', is the [[unnoticeable comma\|unnoticeable]] [[11-limit]] [[comma]] between three [[8/7]]'s (693.522 cents) and two [[11/9]]'s (694.816 cents), measuring 1.294 cents<ref>Gayle Young, "The Pitch Organization of ''Harmonium for James Tenney''", Perspectives of New Music, vol. 26, no. 2, summer 1988, pp. 204–12. Stable URL: http://www.jstor.org/stable/833190</ref> and casually once referred to as "'''the tinge'''"<ref>Gayle Young, private e-mail to Todd Harrop, 24 June 2018.</ref>. It is the difference of [[1029/1024]] and [[243/242]]. Besides, it is also the difference of [[385/384]] and [[540/539]]. Those two ratios make up [[225/224]]. Therefore, tempering it out guarantees that 225/224 is split into two, each for 385/384~540/539.

	It factors into two superparticular commas: ([[2401/2400]])([[3025/3024]]).		It factors into two superparticular commas: ([[2401/2400]])([[3025/3024]]).

BudjarnLambeth at 04:53, 13 October 2024

2024-10-13T04:53:22Z

← Older revision		Revision as of 04:53, 13 October 2024
Line 5:		Line 5:
	\| Comma = yes		\| Comma = yes
	}}		}}
	In [[just intonation]], '''41503/41472''', the '''argyria''', is the [[unnoticeable comma\|unnoticeable]] [[11-limit]] [[comma]] between three [[8/7]]'s (693.522 cents) and two [[11/9]]'s (694.816 cents), measuring 1.294 cents<ref>Gayle Young, "The Pitch Organization of ''Harmonium for James Tenney''", Perspectives of New Music, vol. 26, no. 2, summer 1988, pp. 204–12. Stable URL: http://www.jstor.org/stable/833190</ref> and casually once referred to as "the tinge"<ref>Gayle Young, private e-mail to Todd Harrop, 24 June 2018.</ref>. So it is the difference of [[1029/1024]] and [[243/242]]. Besides, it is also the difference of [[385/384]] and [[540/539]]. Those two ratios make up [[225/224]]. Therefore, tempering it out guarantees that 225/224 is split into two, each for 385/384~540/539.		In [[just intonation]], '''41503/41472''', the '''argyria''', is the [[unnoticeable comma\|unnoticeable]] [[11-limit]] [[comma]] between three [[8/7]]'s (693.522 cents) and two [[11/9]]'s (694.816 cents), measuring 1.294 cents<ref>Gayle Young, "The Pitch Organization of ''Harmonium for James Tenney''", Perspectives of New Music, vol. 26, no. 2, summer 1988, pp. 204–12. Stable URL: http://www.jstor.org/stable/833190</ref> and casually once referred to as "'''the tinge'''"<ref>Gayle Young, private e-mail to Todd Harrop, 24 June 2018.</ref>. So it is the difference of [[1029/1024]] and [[243/242]]. Besides, it is also the difference of [[385/384]] and [[540/539]]. Those two ratios make up [[225/224]]. Therefore, tempering it out guarantees that 225/224 is split into two, each for 385/384~540/539.

	It factors into two superparticular commas: ([[2401/2400]])([[3025/3024]]).		It factors into two superparticular commas: ([[2401/2400]])([[3025/3024]]).

BudjarnLambeth: BudjarnLambeth moved page 41503/41472 to Argyria over redirect: Big number

2024-10-13T00:50:52Z

BudjarnLambeth moved page 41503/41472 to Argyria over redirect: Big number

← Older revision	Revision as of 00:50, 13 October 2024
(No difference)